RPM and rad/s are measures of angular velocity, and angular velocity is not the same as angular acceleration.

You have an initial angular velocity of 0 and a final angular velocity of 605 RPM (converted to rad/s) which is to be achieved in 1.05 s. What angular acceleration (units of rad/s^2) is required to do this? Once you find the ang. acceleration, then you'll be able to calculate the torque required to do this.

You should have studied the basic equations of angular motion (and they are analogous to the equations of linear motion).

α is angular acceleration. you used the angular velocity, 605rpm (63rad/s) to find the torque. Your KE equation is correct but you used the wrong value for angular velocity. The angular velocity was given.

RPM and rad/s are measures of angular velocity, and angular velocity is not the same as angular acceleration.

You have an initial angular velocity of 0 and a final angular velocity of 605 RPM (converted to rad/s) which is to be achieved in 1.05 s. What angular acceleration (units of rad/s^2) is required to do this? Once you find the ang. acceleration, then you'll be able to calculate the torque required to do this.

You should have studied the basic equations of angular motion (and they are analogous to the equations of linear motion).

Yeaa, i noticed that. Wasn't thinking straight.

I would think that i would use one of my kinematic equations ω=ωi+αt to find α which in this case is just ω=60
(.5)(1.55x10^-4)(60^2)=.279